Special nonuniform lattice (snul) orthogonal polynomials on discrete dense sets of points

DOI10.1016/0377-0427(95)00114-XzbMath0847.33008arXivmath/9502228MaRDI QIDQ1917945

Alphonse P. Magnus

Publication date: 15 July 1996

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9502228

zbMATH Keywords

difference operator

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Other functions coming from differential, difference and integral equations (33E30)

Related Items (28)

Adjoint difference equation for the Nikiforov-Uvarov-Suslov difference equation of hypergeometric type on non-uniform lattices ⋮ Elliptic grids, rational functions, and the Padé interpolation ⋮ Monic bivariate polynomials on quadratic and \(q\)-quadratic lattices ⋮ Rational spectral transformations and orthogonal polynomials ⋮ On the complex difference equation of hypergeometric type on non-uniform lattices ⋮ On solutions of holonomic divided-difference equations on nonuniform lattices ⋮ Divided-difference equation, inversion, connection, multiplication and linearization formulae of the continuous Hahn and the Meixner-Pollaczek polynomials ⋮ Linear Partial Divided-Difference Equation Satisfied by Multivariate Orthogonal Polynomials on Quadratic Lattices ⋮ Discrete semi-classical orthogonal polynomials of class one on quadratic lattices ⋮ Generalizations of Rodrigues type formulas for hypergeometric difference equations on nonuniform lattices ⋮ An explicit example of polynomials orthogonal on the unit circle with a dense point spectrum generated by a geometric distribution ⋮ Hypergeometric Multivariate Orthogonal Polynomials ⋮ Nevanlinna theory for Jackson difference operators and entire solutions of \(q\)-difference equations ⋮ Orthogonal polynomials on systems of non-uniform lattices from compatibility conditions ⋮ Haydock's recursive solution of self-adjoint problems. Discrete spectrum ⋮ Variational calculus on \(q\)-nonuniform lattices ⋮ On difference equations for orthogonal polynomials on nonuniform lattices¹ ⋮ Fixed point theory approach to boundary value problems for second-order difference equations on non-uniform lattices ⋮ On some classes of polynomials orthogonal on arcs of the unit circle connected with symmetric orthogonal polynomials on an interval ⋮ q-Difference linear control systems ⋮ \(q\)-non uniform difference calculus and classical integral inequalities ⋮ Rational interpolation to solutions of Riccati difference equations on elliptic lattices ⋮ Characterization theorem for classical orthogonal polynomials on non-uniform lattices: the functional approach ⋮ Recurrence equations and their classical orthogonal polynomial solutions on a quadratic or a q-quadratic lattice ⋮ Elliptic polynomials orthogonal on the unit circle with a dense point spectrum ⋮ The factorization method for the Askey-Wilson polynomials ⋮ On the second-order holonomic equation for Sobolev-type orthogonal polynomials ⋮ Rediscovering the contributions of Rodrigues on the representation of special functions

Uses Software

• ORTHPOL

Cites Work

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